Looks like it's dead now. Even from the GGM link in the OP's post it now says:
"We've had a massive response to our free game offer, and we want to ensure that everybody who has already registered their votes receives their free game. As a result, we are temporarily suspending the promotion...
I had gamefly for over a year and then when I saw the GnF offer for 6 at a time for $250 per year, I searched around and everyone said that it was a better service now, so I jumped on it. What a freaking waste. Sure you get more, but they couldn't even come close to handling the demand they had...